211214540 has 48 divisors (see below), whose sum is σ = 467570880. Its totient is φ = 80021760.

The previous prime is 211214519. The next prime is 211214557. The reversal of 211214540 is 45412112.

It is a happy number.

It is a super-2 number, since 2×211214540² = 89223163814823200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27305 + ... + 34175.

It is an arithmetic number, because the mean of its divisors is an integer number (9741060).

Almost surely, 2^211214540 is an apocalyptic number.

211214540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233785440).

211214540 is an abundant number, since it is smaller than the sum of its proper divisors (256356340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211214540 is a wasteful number, since it uses less digits than its factorization.

211214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 211214540 is about 14533.2219414691. The cubic root of 211214540 is about 595.5358870502.

Adding to 211214540 its reverse (45412112), we get a palindrome (256626652).

The spelling of 211214540 in words is "two hundred eleven million, two hundred fourteen thousand, five hundred forty".